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Expand the expression $(x-3)(x-2)$.

AlgebraPolynomialsExpansionFOIL method
2025/4/27

1. Problem Description

Expand the expression (x−3)(x−2)(x-3)(x-2).

2. Solution Steps

To expand the expression (x−3)(x−2)(x-3)(x-2), we use the distributive property (also known as the FOIL method).
(x−3)(x−2)=x(x−2)−3(x−2)(x-3)(x-2) = x(x-2) - 3(x-2)
=x∗x−x∗2−3∗x+3∗2= x*x - x*2 - 3*x + 3*2
=x2−2x−3x+6= x^2 - 2x - 3x + 6
=x2−5x+6= x^2 - 5x + 6

3. Final Answer

x2−5x+6x^2 - 5x + 6

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